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61315240 = 2357239521
BaseRepresentation
bin1110100111100…
…1100010101000
311021101010200211
43221321202220
5111144041430
610030110504
71343112430
oct351714250
9137333624
1061315240
113167a058
121864b434
13c91a80c
1482012c0
1555b272a
hex3a798a8

61315240 has 64 divisors (see below), whose sum is σ = 164540160. Its totient is φ = 20106240.

The previous prime is 61315237. The next prime is 61315249. The reversal of 61315240 is 4251316.

61315240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61315249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680 + ... + 11200.

It is an arithmetic number, because the mean of its divisors is an integer number (2570940).

Almost surely, 261315240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82270080).

61315240 is an abundant number, since it is smaller than the sum of its proper divisors (103224920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61315240 is a wasteful number, since it uses less digits than its factorization.

61315240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 61315240 is about 7830.4048426630. The cubic root of 61315240 is about 394.3266635639.

Adding to 61315240 its reverse (4251316), we get a palindrome (65566556).

The spelling of 61315240 in words is "sixty-one million, three hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 9521 19042 38084 47605 66647 76168 95210 133294 190420 218983 266588 333235 380840 437966 533176 666470 875932 1094915 1332940 1532881 1751864 2189830 2665880 3065762 4379660 6131524 7664405 8759320 12263048 15328810 30657620 61315240